Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	9
1	36	9
2	68	9
3	117	9
4	174	9
5	195	9
6	197	9
7	197	9

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 28.6b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.7b	(- (* x x) (* (* y 4.0) y))
28.1b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

3.0ms	(- (* x x) (* (* y 4.0) y))
8.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(- (* x x) (* (* y 4.0) y))
12.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify182.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	221	583
1	964	535
2	4800	534
3	5002	534

prune111.0ms

Filtered

50 candidates to 39 candidates (22.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Merged error: 0.6b

Counts

51 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

14.5b	(* (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
27.6b	(cbrt (- (* x x) (* (* y 4.0) y)))
27.6b	(cbrt (- (* x x) (* (* y 4.0) y)))
27.6b	(cbrt (- (* x x) (* (* y 4.0) y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
25×	`add-sqr-sqrt`
24×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
19×	`cbrt-prod`
16×	`add-exp-log` `frac-times`
15×	`flip3--` `flip--`
12×	`associate-*l/`
10×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+` `div-inv`

Counts

4 → 102

Calls

4 calls:

20.0ms	(* (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
3.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
3.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
3.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
23.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
23.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
22.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	567	2303
1	2426	2071
2	5001	1966

prune511.0ms

Filtered

114 candidates to 91 candidates (20.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	114	4	118

Merged error: 0.6b

Counts

118 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.6b

Counts

4 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.6b

Counts

4 → 4

regimes265.0ms

Accuracy

51.3% (15.3b remaining)

Error of 15.7b against oracle of 0.5b and baseline of 31.8b

bsearch212.0ms

Steps

Iters	Range		Point
7	1.915059190983113e+220	1.1963760442533128e+222	1.9413557217607002e+220
8	1.4628434629965097e+128	1.8981452699856308e+132	1.1750726112486876e+130
7	3.808806287684407e+43	2.358025505339752e+45	4.918033431131162e+43
7	1.6625947843607814e-31	1.0162630975846458e-29	1.2819468088135509e-30
9	1.0755669291035227e-119	6.127537806948448e-113	1.0797834410242907e-118
8	6.8828081134434495e-177	1.5543082322220432e-173	2.852945549725954e-174
0	0.0	1.0783130940179e-318	5.3915407668072e-319

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	34
1	37	34

end0.0ms

sample472.0ms

Algorithm

intervals

Results

275.0ms

8000×

body

valid

Details

sample21.0ms

simplify16.0ms

prune3.0ms

localize7.0ms

rewrite12.0ms

series19.0ms

simplify182.0ms

prune111.0ms

localize12.0ms

rewrite36.0ms

series81.0ms

simplify73.0ms

prune511.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune3.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes265.0ms

bsearch212.0ms

simplify2.0ms

end0.0ms

sample472.0ms

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